수학동아 - 폴리매스

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함께 풀고 싶은 문제

창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.

[창의 퍼즐] [대수]저는 쉬운 문제만 냅니다

전자기역학 2020.07.15 19:41 조회 576

문제 푼 사람 0명

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

실수 a, b, c가 다음 조건을 만족할 때, a⁵에 가장 가까운 정수가 될 수 있는 값을 모두 구하여라.

a²bc+ab²c+abc²+8=a+b+c

a²b+b²c+c²a+ab²+bc²+ca²+3abc=-4

a²b²c+ab²c²+a²bc²=2+ab+bc+ca

a+b+c>0

(풀이 필수)

이전글 정수식1[정수]

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